Based on a one-factor (single index) model, consider a portfolio of two stocks with the following characteristics: Stock Factor Sensitivity Non-factor risk (²) Proportion A 0.20 49 0.40 B 3.50 100 0.60 If the standard deviation of the factor is 15%, what is the standard deviation of returns on the portfolio?
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?
- Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?The index model for stocks A and B is estimated from excess return with the following results: RA = -0.01 +0.8RM RB = 0.04 + 1.1RM R-squared 4 = 0.15 R-squared B = 0.3 Market-index risk (oM) is 0.2Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 0.03 + 0.7 RM + eA RB = -0.02+ 1.2 RM + eB σM =0.20; R-square A = 0.25 R-square B = 0.20 What is the standard deviation of A & B, respectively? Group of answer choices 0.54, 0.28 0.28, 0.54 0.45, 0.50 0.50, 0.45
- The index model has been estimated for stock A with the following results: RA = 0.01 + 1.2RM + eA. σM = 0.15; σ(eA) = 0.10. The standard deviation of the return for stock A isAssuming that the CAPM approach is appropriate, compute the required rate of return for each of the following stocks, given a risk-free rate of 0.07 and an expected return for the market portfolio of 0.13: Stock A B C D E Stock Beta 1.3 0.9 0.8 1 1.4The index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA. If σM = 0.25 and R2A = 0.25, the standard deviation of return of stock A is:
- Suppose that index model for Stocks A and B is estimated from excess returns with the following results: Ra= 0.04+0.6Rm+ea, Rb= -0.04+1.3Rm+eb, Risk on the market is 30%, R-squared of A is 30%, R-squared of B is 40%, systematic risk for B is Select one: O a. 1521 O b. 1115 O c.914 O d. 1345The index model has been estimated for stocks A and B with the following results: RA 0.01 +0.5RM + A RB = 0.02 +1.3RM + eB standard deviation of the market is 0.25, standard deviation of eA is 0.2 and standard deviation of eB is 0.10 What is the covariance betwween the returns on stocks A and B?.Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092